{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from minisom import MiniSom\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Iris data\n",
    "----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training...\n",
      "\n",
      "...ready!\n"
     ]
    },
    {
     "data": {
      "image/png": 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abOl7G4Bt/G0OLfOnfCQS2yJmi0So5qBEfx5tJIMW0qZ+YbeyMcbkF/VNZSIb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\nxpiQWdAaY0zI/j+nzeYGkf0+oQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10763fc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.genfromtxt('iris.csv', delimiter=',', usecols=(0, 1, 2, 3))\n",
    "# data normalization\n",
    "data = np.apply_along_axis(lambda x: x/np.linalg.norm(x), 1, data)\n",
    "\n",
    "# Initialization and training\n",
    "som = MiniSom(7, 7, 4, sigma=1.0, learning_rate=0.5)\n",
    "som.random_weights_init(data)\n",
    "print(\"Training...\")\n",
    "som.train_random(data, 100)  # random training\n",
    "print(\"\\n...ready!\")\n",
    "\n",
    "# Plotting the response for each pattern in the iris dataset\n",
    "plt.bone()\n",
    "plt.pcolor(som.distance_map().T)  # plotting the distance map as background\n",
    "plt.colorbar()\n",
    "\n",
    "target = np.genfromtxt('iris.csv', delimiter=',', usecols=(4), dtype=str)\n",
    "t = np.zeros(len(target), dtype=int)\n",
    "t[target == 'setosa'] = 0\n",
    "t[target == 'versicolor'] = 1\n",
    "t[target == 'virginica'] = 2\n",
    "\n",
    "# use different colors and markers for each label\n",
    "markers = ['o', 's', 'D']\n",
    "colors = ['r', 'g', 'b']\n",
    "for cnt, xx in enumerate(data):\n",
    "    w = som.winner(xx)  # getting the winner\n",
    "    # palce a marker on the winning position for the sample xx\n",
    "    plt.plot(w[0]+.5, w[1]+.5, markers[t[cnt]], markerfacecolor='None',\n",
    "             markeredgecolor=colors[t[cnt]], markersize=12, markeredgewidth=2)\n",
    "plt.axis([0, 7, 0, 7])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Color quantization\n",
    "----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "training...\n",
      "quantization...\n",
      "building new image...\n",
      "done.\n"
     ]
    },
    {
     "data": {
      "image/png": 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qeQr55gJYB7lxgcIIKpwLtRteQj1E5pr5aF5wHlwezrLeB5ktQaIKqpWEF8CJa1Uzi6Vd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TWcC2rYg0rb8tWTLr+c7Gs1onwoOnxY2ujf3J5VpjKILD+XiPyzMYQBsz3d+YNrxAbd188LSWPL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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a617fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# read the image\n",
    "img = plt.imread('tree.jpg')\n",
    "\n",
    "# reshaping the pixels matrix\n",
    "pixels = np.reshape(img, (img.shape[0]*img.shape[1], 3))\n",
    "\n",
    "# SOM initialization and training\n",
    "print('training...')\n",
    "som = MiniSom(3, 3, 3, sigma=0.1, learning_rate=0.2)  # 3x3 = 9 final colors\n",
    "som.random_weights_init(pixels)\n",
    "starting_weights = som.get_weights().copy()  # saving the starting weights\n",
    "som.train_random(pixels, 100)\n",
    "\n",
    "print('quantization...')\n",
    "qnt = som.quantization(pixels)  # quantize each pixels of the image\n",
    "print('building new image...')\n",
    "clustered = np.zeros(img.shape)\n",
    "for i, q in enumerate(qnt):  # place the quantized values into a new image\n",
    "    clustered[np.unravel_index(i, dims=(img.shape[0], img.shape[1]))] = q\n",
    "print('done.')\n",
    "\n",
    "# show the result\n",
    "plt.figure(1)\n",
    "plt.subplot(221)\n",
    "plt.title('original')\n",
    "plt.imshow(img)\n",
    "plt.subplot(222)\n",
    "plt.title('result')\n",
    "plt.imshow(clustered)\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.title('initial colors')\n",
    "plt.imshow(starting_weights, interpolation='none')\n",
    "plt.subplot(224)\n",
    "plt.title('learned colors')\n",
    "plt.imshow(som.get_weights(), interpolation='none')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Handwritten digits\n",
    "----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training...\n",
      "\n",
      "...ready!\n"
     ]
    }
   ],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "# load the digits dataset from scikit-learn\n",
    "# 901 samples,  about 180 samples per class\n",
    "# the digits represented 0, 1, 2, 3, 4\n",
    "\n",
    "digits = datasets.load_digits(n_class=4)\n",
    "data = digits.data  # matrix where each row is a vector that represent a digit.\n",
    "num = digits.target  # num[i] is the digit represented by data[i]\n",
    "\n",
    "som = MiniSom(20, 20, 64, sigma=.8, learning_rate=0.5)\n",
    "print(\"Training...\")\n",
    "som.train_random(data, 1500)  # random training\n",
    "print(\"\\n...ready!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OcL1uCKwfZChv0++iit41pP+72bWJJVso5yab9wpacwVLKGZmdzUwf/1t2F0W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\nt/6Du9LnA/B+7otsP/RmSGP1BKPbSw29+3T/Q0a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6LWGR1nDNtUNsG8+kusYaSmsKuPlb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\nTwghRMSQoieEECJiSNETQggRMf5/Y/2SZsRS8WkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ca1e790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 7))\n",
    "wmap = {}\n",
    "im = 0\n",
    "for x, t in zip(data, num):  # scatterplot\n",
    "    w = som.winner(x)\n",
    "    wmap[w] = im\n",
    "    plt. text(w[0]+.5,  w[1]+.5,  str(t),\n",
    "              color=plt.cm.Dark2(t / 4.), fontdict={'weight': 'bold',  'size': 11})\n",
    "    im = im + 1\n",
    "plt.axis([0, som.get_weights().shape[0], 0,  som.get_weights().shape[1]])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3RCjSBMWepxUrVmTbH3zwAQBr164F8ohy0celVsUeGV3Piuxs3rwZgL59+6Yv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\nJawgS5IkSQkryJIkSVLCCrIkSZKUsIIsSZIkJX5VdQHUfBcvXiyW161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j/k/9uXv27Fmg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\nSUpYQZYkSZIS/x82AaRIoinELAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1239b1290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10), facecolor='white')\n",
    "cnt = 0\n",
    "for j in reversed(range(20)):  # images mosaic\n",
    "    for i in range(20):\n",
    "        plt.subplot(20, 20, cnt+1, frameon=False,  xticks=[],  yticks=[])\n",
    "        if (i, j) in wmap:\n",
    "            plt.imshow(digits.images[wmap[(i, j)]],\n",
    "                       cmap='Greys', interpolation='nearest')\n",
    "        else:\n",
    "            plt.imshow(np.zeros((8, 8)),  cmap='Greys')\n",
    "        cnt = cnt + 1\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
